The influence of variability on the optimal shape of an airway tree branching asymmetrically

Physical Biology

Volumn 7, Issue 1, 2010, Pages

  Mauroy, Benjamin ^a   Bokov, Plamen ^a  

^a UNIVERSITÉ PARIS DIDEROT   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; AUDIOVISUAL EQUIPMENT; BREATHING MECHANICS; BRONCHUS; COMPARATIVE STUDY; HISTOLOGY; HUMAN; PHYSIOLOGY; STRUCTURE ACTIVITY RELATION;

BRONCHI; HUMANS; MODELS, ANATOMIC; RESPIRATORY MECHANICS; STRUCTURE-ACTIVITY RELATIONSHIP;

EID: 77949836328     PISSN: 14783967     EISSN: 14783975     Source Type: Journal    
DOI: 10.1088/1478-3975/7/1/016007     Document Type: Article

References (26)

1. Weibel E R 1984 The Pathway for Oxygen (Cambridge, MA: Harvard University Press)
2. West B J, Barghava V and Goldberger A L 1986 Beyond the principle of similitude: renormalization in the bronchial tree J. Appl. Physiol. 60 1089-97
3. West G B, Brown J H and Enquist B J 1997 A general model for the origin of allometric scaling laws in biology Science 276 122-6
4. Bejan A 2000 Shape and Structure, From Engineering to Nature (Cambridge: Cambridge University Press)
5. Mauroy B, Filoche M, Andrade J S Jr and Sapoval B 2003 Interplay between geometry and flow distribution in an airway tree Phys. Rev. Lett. 90 1-4
6. Kamiya A and Takahashi T 2007 Quantitative assessments of morphological and functional properties of biological trees based on their fractal nature J. Appl. Physiol. 102 2315-23
7. Grandmont C, Maury B and Soualah A 2008 Multiscale modelling of the respiratory track: a theoretical framework ESAIM: Proc. 23 10-29
8. Restrepo J G, Ott E and Hunt B R 2006 Scale dependence in arterial and bronchial trees Phys. Rev. Lett. 96 128101
9. Mauroy B, Filoche M, Weibel E R and Sapoval B 2004 An optimal bronchial tree may be dangerous Nature 427 633-6
10. Vercken E,Wellenreuther M, Svensson E I and Mauroy B 2009 Don't fall off the adaptation cliff: when do asymmetrical fitness costs select for suboptimal traits? unpublished
11. Mountford M D 1968 The significance of litter size J. Anim. Ecol. 37 363-7
12. Phillips C G and Kaye S R 1995 Diameter-based analysis of the branching geometry of four mammalian bronchial trees Resp. Physiol. 102 303-16
13. Phillips C G and Kaye S R 1997 On the asymmetry of bifurcations in the bronchial tree Resp. Physiol. 107 85-98
14. Tawhai M H, Hunter P, Tschirren J, Reinhardt J, McLennan G and Hoffman A E 2004 CT-based geometry analysis and finite element models of the human and ovine bronchial tree J. Appl. Physiol. 97 2310-21
15. Bokov P, Mauroy B, Revel M P, Brun P A, Peiffer C, Daniel C, Nay M M, Mahut B and Delclaux C 2009 Relationships between airway resistance and both lumen areas and homothety factor in patients with COPD unpublished
16. Liu Y, So R M C and Zhang C H 2003 Modeling the bifurcating flow in an asymmetric human lung airway J. Biomech. 36 951-9
17. Freitas R K and Schroder W 2008 Numerical investigation of the three-dimensional flow in a human lung model J. Biomech. 41 2446-57
18. Polak A G and Lutchen K R 2003 Computational model for forced expiration from asymmetric normal lungs Ann. Biomed. Eng. 31 891-907
19. Mauroy B and Meunier N 2008 Optimal Poiseuille flow in a finite elastic dyadic tree ESAIM: M2AN 42 507-34
20. Weibel E R 1963 Morphometry of the Human Lung (Berlin: Springer)
21. Horsfield K, Dart G, Olson D E, Filley G F and Cumming G 1971 Models of human bronchial tree J. Appl. Physiol. 31 207
22. Horsfield K, Kemp W and Phillips S 1982 An asymmetrical model of the airways of the dog lung J. Appl. Physiol. 52 21-6
23. Grandmont C, Maury B and Meunier N 2006 A viscoelastic model with non-local damping application to the human lungs Math. Modelling Numer. Anal. 40 201-24
24. Murray C D 1926 The physiological principle of minimum work: I. The vascular system and the cost of blood Proc. Natl Acad. Sci. USA 12 207-14
25. Montaudon M, Desbarats P, Berger P, de Dietrich G, Marthan R and Laurent F 2007 Assessment of bronchial wall thickness and lumen diameter in human adults using multi-detector computed tomography: comparison with theoretical models J. Anat. 211 579-88
26. Sapoval B 1997 Universalités et Fractales (Paris: Flammarion)